SUNY Stony Brook

Office: 4-112 Mathematics Building

Phone: (631)-632-8274

Dept. Phone: (631)-632-8290

FAX: (631)-632-7631

bishop at math.stonybrook.edu

Time and place: MWF 10:00-10:53am, MATH P-131 (ROOM CHANGED from Physics P-112)

Grader: Jack Burkart, jack.burkart at stonybrook.edu, office hours Wed 11am-12pm in 5-125b (Math Tower); TuTh 1pm-2pm in Math Learning Center (S-level = basement in Math Tower)

practice first midterm This is 50 questions. The actual midterm will have exactly the same format, although the questions will be changed. Most of the questions are not hard, but you will have to move quickly to finish the whole exam. We will go over the practice in class on Monday, Oct 10. The midterm is intended to cover Chapters 1-4. A few questions on the midterm refer to things that we have not yet covered in class, but will cover before the midterm (if we don't, then I will make sure this material in not on the actual midterm).

answers for practice first midterm

histogram of results for first midterm

practice second midterm The actual midterm is Wednesday, October 16, and will look simliar to the practice, but may contain a few questions with a different format. The practice exam was written quickly and may have some typos. I will try to post an answer key by Sunday (Oct 13) evening.

answers for practice second midterm

histogram of results for second midterm

Final Exam: Tuesday, December 20, 2016 2:15pm-5:00pm, location to be announced (probably during last week of classes)The textbook "Complex Variables and Applications" by J.W. Brown and R.V. Churchill, 9th edition. The maerial covered in earlier editions should be similar, but sections and exericses might be numbered differently. All assignments will be based on 9th edition, so if you are using a different edition, it is your responsibility to make sure you do the correct work. 8th edition

This is an introduction to functions of a complex variable and emphasizes developing computational skill with complex numbers (complex arithmetic, power series manipulation, evaluation of real and complex integrals using residues,...). It is also a mathematically rigorous course, and most statements will come with complete proofs. Students will be expected to be able to do simple proofs and derivations, as well as perform the calculational skills mentioned above. Topics covered will include properties of complex numbers, analytic functions with examples, contour integrals, the Cauchy integral formula, the fundamental theorem of algebra, power series and Laurant series, residues and poles with applications, conformal mappings with applications and other topics if time permits.

An alternative (or sequel) to this course is MAT 536 (previously numbered MAT 542). This is a first year graduate course in one complex variable that is offered every Spring. It covers about twice as much material at MAT 342 and is much more theoretical (all proofs, all the time).

Grades will be based on weekly problem sets (50 points total), two midterms (50 points each) and a final exam (50 points).

Prof. Bishop's Office Hours: MW 9-10, M 2-3. You should aso feel free to make appointments for other times, or just stop by my office.

tentative lecture schedule and
problem assignments

The schedule may change as we proceed,
and this may change the assigments. I will post updated copies here
if that happens.

I updated the homework on Sept 23,to correct a type in the assignment for Sept 26. Problems that were marked as in Section 37 did not exist and were meant to be in Section 36.

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Link to history of mathematics